Modelling, Design And Optimization of Equipment for Toluene Emissions Abatement
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1 odelling, Design And Optimization of Equipment for Toluene Emissions Abatement Ana Sofia Vaz Cardoso Instituto Superior Técnico Universidade Técnica de Lisboa Abstract The work focuses the abatement of volatile organic compounds (VOC) in an inket dye colorant manufacturing process at Fuifilm Imaging Colorants. Toluene emissions from the inket dye manufacturing process were quantified using Environmental Protection Agency (EPA) equations and SuperPro Designer (SPD, Chemical Engineering Simulation Program). Quantification of toluene emissions with EPA equations was compared with the results from SPD in order to assess recent calculation changes to the design and simulation software. A model based in gas absorption for an eisting scrubber was developed in order to calculate the efficiency in the VOC abatement. The model consisted in a multi-bed scrubber made up of a first scrubber with recirculation and a continuous second scrubber. A maimum efficiency value of 5% was found for the first scrubber. However, due to stripping, negative values were also observed. For the second scrubber a value of 34% was found. This resulted in an overall maimum efficiency value of 64%. Increasing the liquid flow rates will have the most immediate benefit in terms of removal efficiency. The current scrubber system was able to achieve insignificant levels for long term emissions but was unable to routinely achieve short term ones. Use of the eisting condenser in the process reaction vessel (not considered for calculations) and/or increased liquid flow to the scrubber will ensure that overall abatement would satisfy both short and long term ground level concentrations. Keywords: Volatile Organic Compounds, Gas Absorption, Inket Dye.. Introduction Volatile organic components (VOCs) are common pollutants emitted from chemical processes. These emissions eceed environmental standards and thus VOC abatement is required []. VOCs are emitted as gases from certain solids or liquids through the volatilization of organic compounds at the liquid surface. The present case focuses on toluene emissions. Toluene emissions come from an inket dye manufacturing operations being a function of displacement (e.g., charging, transfer), heating, gas sweep (e.g., convective drying, inerting) and vacuum drying operations during manufacturing. Each year, new federal and state environmental regulations require higher destruction and improved capture of volatile organic compounds. For toluene the appraisal methodology for peak (short term) process contributions and long term process contributions at ground level equate to maimums of.738 kg/h and 469 kg/annum respectively. The regulator can also apply solvent emission directive benchmarks with mass and concentration rates of. kg/h and mg/m 3 for Class A VOCs or kg C/h and 75 mg C/m 3 for Class B VOCs (emissions at the point source, vent outlet). A VOC control system typically consists of a capture device and a removal device. The capture device (such as a hood or enclosure) captures the VOC-laden air from the emission area and ducts the ehaust air stream to removal equipment such as a recovery device or a destructive control device []. In
2 this work toluene emissions from the inket dye manufacturing process were quantified using Environmental Protection Agency (EPA) equations and a chemical engineering simulation program, SuperPro Designer (SPD). Emissions released from the process will be subected to gas treatment in a multi-bed scrubber consisting of a recirculation first scrubber and a continuous second scrubber. A model is proposed to calculate the scrubbers efficiency using gas absorption theory and the ONDA method.. Emissions odel.. Process Toluene emissions derive from an inket dye manufacturing process involving a crystallization step described below. Crystallization of Intermediate paste Start the agitator and charge toluene (439 kg) into reaction vessel A. Charge the intermediate paste (669 % wt) over a minimum of hours. Heat the contents to 55 to 6 C and hold at 55 to 6 C for four hours. Whilst maintaining the temperature at 55 to 6 C, add methanol (ethanol ) over two hours... Emissions equations Toluene emissions prior to absorption are a function of the following process: material loading emissions, heat-up losses and purge or gas sweep. The amount of toluene emitted during the listed operations is calculated using the following EPA equations []: aterial loading emissions: E episode Purging of filled vessels (gas sweep): E episode Heating of vessels: E episode where n = inert n P pi i Wi = Vr () RT pi i = P p ( p ) i V = R T i ( p ) Pa T V + P Pa ( p ) i T i ( p ) T () (3) r, r, inert (4) T T Pa Pa = P = P ( p ) i ( p ) i T T (5) Isolation and Water Wash of Intermediate Pre-heat vessel B to 4 C and transfer in contents vessel A using methanol (ethanol, 6 litres) as a follow through wash. Cool batch to 5 to C. aterial is then passed to the filter for isolation and nitrogen drying. Nitrogen drying was not considered as the emissions are sent to a different scrubber from that being evaluated. 3. Absorption odel 3.. Solubility Absorption is a unit operation used in the chemical industry to separate gases by washing or scrubbing a gas miture with a suitable liquid. One or more of the constituents of the gas miture are absorbed in the liquid and can thus be removed from the miture. In air
3 pollution control, absorption involves the removal of specific gaseous pollutants from a process stream by dissolving them into a liquid. Absorption is a mass-transfer operation. In any absorption process, possible removal efficiency is controlled by the concentration gradient of the pollutant being treated between the gas and the liquid phases. This concentration gradient is the driving force to mass transfer between phases. Therefore, the solubility of the given pollutant in the gas and liquid phases will determine the equilibrium concentration of the pollutant. Solubility is the factor that affects the amount of a pollutant, or solute, that can be absorbed and it s a function of both the temperature and the pressure of the system. Solubility data are obtained at equilibrium conditions. If equilibrium were to be reached in the actual operation of an absorption tower, the efficiency would fall to zero at that point since no net mass transfer could occur. The equilibrium concentration, therefore, limits the amount of solute that can be removed by absorption. Solubility data are analyzed by an equilibrium diagram that plots the mole fraction of solute in the liquid phase, denoted as, versus the mole fraction of solute in the gas phase, denoted as y. For low concentrations of a non-reacting solute in the liquid phase, where a simple solution is formed, Henry s Law applies: p*= H (6) solute concentrations are very dilute. In air pollution control applications, this is usually the case as it is in the present case for toluene. If a pollutant is readily soluble in the scrubbing liquor, the slope m of the equilibrium curve is low. An inverse relationship eists between m and driving force, the smaller the slope, the more readily the pollutant will dissolve into the scrubbing liquor. In this case the system toluene-water has a Henry constant of Equipment Gas absorption is usually carried out in vertical countercurrent columns. In this case a packed tower is used. The model consisted in a multi-bed scrubber made up of a first scrubber with recirculation and a continuous second scrubber (Fig. ). The packed-bed scrubbers consist of a chamber containing layers of polypropylene Pall rings that provide a large surface area for liquid-gas contact. The packing is held in place by wire mesh retainers and supported by a plate near the bottom of the scrubber. Scrubbing liquid is evenly introduced above the packing and flows down through the bed. The liquid coats the packing and establishes a thin film. The pollutant to be absorbed must be soluble in the fluid. In vertical designs, the gas stream flows up the chamber (countercurrent to the liquid) [3]. Dividing both sides of Equation (6) by the total pressure of the system we obtain: y e = H (7) This is the equation of a straight line, where the slope (m) is equal to H. Henry s law can be used to predict solubility only when the equilibrium line is straight. Equilibrium lines are usually straight when the
4 Gas out (y') Nitrogen Toluene Liq in (') group in front of the integral sign is the height of a transfer unit, H OG. Equation (8) can be written as: Water Z = H OG OG (9) Nitrogen Toluene Nitrogen Toluene Liq out (') Water Toluene Water Toluene In the transfer unit concept there is a clear separation between the number of transfer units (N OG ), which is based on driving forces, and the height of a transfer unit (H OG ), which represents the rate of mass transfer. The specification for the amount of solute transferred from the gas phase determines the number of transfer units required; the height of a transfer unit depends mainly on the choice of tower packing. The relationship between the overall height of a Fig.. Scrubber Schematics. : mol fraction of toluene in liquid y: mol fraction of toluene in gas transfer unit and the individual film transfer units H L and H G, which are based on the concentration driving force across the liquid and gas films, is given by: 3.3. Absorption model equations The height of a packed column refers to the depth of packing material needed to accomplish the required removal efficiency [4]. Where the concentration of the solute is small, the flow of gas and liquid will be essentially constant throughout the column, and the height of packing required, Z, is given by [5]: G y m dy = K ap y y y Z (8) G in terms of the overall gas phase mass transfer coefficient K G and the gas composition. The e group ( dy y y ) e, in equation (8) has been defined by Chilton and Colburn as the number of overall gas transfer units N OG. The number of overall gas transfer units is an integrated value of the change in composition per unit driving force and epresses the difficulty of absorbing the solute from the gas. The H + G H m OG = H G m L () Lm where m is the slope of the equilibrium line and G m /L m the slope of the operating line. The number of transfer units is obtained by graphical or numerical integration of equation of the dy e in Equation (8). The true mean group ( y y ) driving force is the logarithmic mean when both equilibrium and operating lines are straight, and they can usually be considered to be so for dilute systems. For this case, therefore, y y OG = () ( y y e ) lm This equation may be combined with the equilibrium relation y e = m (for dilute concentrations Henry s law holds) and the material balance epression:
5 L ( ) = G ( y y) () to eliminate the need for values of y e. The resulting equation which was proposed by Colburn is given below: k L And for the mass coefficients: ρ L L g µ k 3 3 ( ad ). 4 Lm µ L =.5 p a w L L D µ ρ L.7 3 G Gm µ v = K 5 p v aµ v ρ v Dv ad. ( ad ) (7) (8) OG mg y m ln L y m = ( mg L ) mg + L The height of a gas-film transfer unit and the height of a liquid-film transfer unit are given by, respectively: (3) Taking into account Fig. the equations for the bottom tier scrubber efficiency calculations are shown. For the liquid re-circulating around the bottom packed bed (base): t = = t = t+ t = ( t t) (9) G H G = (4) kg awp For the liquid eiting the bottom of the scrubber: E t = toluene liq. bottom = nin toluene L H L = (5) k La wc E t t = t+ t toluene liq. bottom = nin toluene + toluene liq. bottom ( t t) () any correlations have been published for predicting the height of a transfer unit, and the masstransfer coefficients. Among eisting correlations, the Onda et al. work can be described as the first and still widely used, procedure for packed tower design in regard to mass-transfer coefficient predictions [6]. Onda et al. published correlations for the film mass-transfer coefficients k G and k L and the effective wetted area of the packing a W, which can be used to calculate H G and H L. Their correlations were based on a large amount of data on gas absorption and distillation; with a variety of packings, which included Pall Rings and Berl saddles [5]. The equation for the effective area is: aw σ c = ep.45 a σ L.75 Lm aµ L. Lm a ρ L g.5. Lm ρ Lσ La (6) n in mi toluene liq. out bottom + toluene liq. out bottom = () A model was developed to determine how the toluene absorption within the multi-bed scrubber varies with time. The calculations were made accordingly with the absorption theory and ONDA s method, and using the following equations for the mole fraction of toluene eiting the scrubbers and for scrubber efficiency, respectively: y ep ( y m ) mg L [( mg L ) ] OG mg L + m = () y Efficiency (%) = (3) y
6 Equation () is equation (3) for the number of transfer units, rearranged for the mole fraction of solute in the gas phase eiting the scrubber. The number of transfer units (N OG ) is calculated using equation (9), being H OG from this equation calculated using equation (). 4. Results and discussion Emissions model Toluene emissions prior to any chilled condensation at the reactor (not considered) and scrubber abatement applied are tabulated below (table ). The calculations were compared with SPD ones. Table. Toluene emissions from process (before condensation & abatement). Operation Time Emissions (kg/h) (h) Ecel SPD spreadsheet odel Charge toluene Gas Sweep Charge Intermediate paste 4 Gas sweep Heating Charge methanol Gas sweep Heating Transfer batch..6.7 Transfer line wash...8 The previous table show that the highest emissions are from the vessel first heating. Due to the heating effect toluene vapors are formed in a larger quantity. The temperature at which the vessel is heated has an important effect on the toluene emissions, a temperature of 5ºC instead of the 55ºC would lead to a value of.5 kg/h in the Heating operation. This effect can also be observed in the gas sweep calculations. If the second gas sweep were conducted at the same time as the first heating and considering a temperature of 55ºC instead of the ºC we would have a value of 3 kg/h of toluene emissions instead of the.53 kg/h. The results from SPD are in close agreement with those from the Ecel spreadsheet (model) and small discrepancies can be due to small differences in some of the parameters used by SPD to do the calculations. Absorption model The results for the recirculation scrubber are given in Fig.. First Scrubber Efficiency (%) Fig.. First scrubber efficiency variation with time (negative absorption efficiency values are due to stripping). The previous graph shows us that the first scrubber switches between absorption and stripping depending on the amount of toluene in the feed gas and toluene already accumulated. Stripping effect occurs when some of the toluene absorbed by the water (, Fig. ) goes to the gas phase (y ). If this amount is higher than the toluene coming in (y ) the efficiency will be negative. As we can see by Fig. the maimum toluene removal efficiency for the first scrubber is about 5% and as the concentration of toluene in the gas stream decreases (Table ) the absorption driving force reduces and stripping takes effect (Fig. 3).
7 Table. Gas miture entering the first scrubber Q in (m3/h) n in total (kmol/h) G m (kmol/(m.s)) G m (kg/(m.s)) y N in y toluene in (y ) y 6.E-3 5.E-3 4.E-3 3.E-3.E-3 Time: t= t= t= t=3 t=4 t=5 t=6 t=7 t=8 t=9 t=.e-3.e+.e+.5e-6 5.E-6 7.5E-6.E-5.3E-5.5E-5.8E-5.E-5 Figure 3. Operating lines of the first scrubber system Fig. 4 indicates that the amount of toluene being absorbed (liquid phase) is not increasing, despite the recirculation, due to the negative efficiency (amount of gas eiting the column, y, is higher than what is coming in, y, due to stripping). g Toluene/g H O bottom first scrubber 5.E-4 4.5E-4 4.E-4 3.5E-4 3.E-4.5E-4.E-4.5E-4.E-4 5.E-5.E Fig. 4. Variation with time of toluene in the liquid phase in the first scrubber (red line indicates toluene solubility in water at ºC). For the efficiency in the second scrubber, Fig. 5, one can see that it practically remains constant at approimately 34% as there is no recirculation, being a once-through scrubbing. The efficiency in the second scrubber is lower due to the lower L/G ratio, as the liquid flow rate is lower (8 m 3 /h instead of m 3 /h). Second Scrubber Efficiency (%) Fig. 5. Second scrubber efficiency variation with time.
8 The results for toluene emissions from the second scrubber are given in Fig. 6 and 7. Toluene emissions are directly related with the amount of toluene that is being released in the gas phase by the first scrubber and with the efficiency in Gas out (mg/m 3 ) second scrubber Fig. 6. Toluene emissions variation with time (mg/m 3 ). the second scrubber, as was epected. Emissions are higher for higher amounts of toluene coming in and for lower efficiencies. Analyzing Fig. 7 one can see that the environmental limits for toluene emissions without further abatement measures (e.g., chilled condensation) will on occasions eceed the maimum short term rate. Overall efficiency, Fig. 8, has a minimum value of about 3% (without taking into account the negative values) and a maimum of 67%. Fig. 6 show that the concentration rate of emissions eiting the scrubber will be above the benchmark guidance. The latter is due to the very low carrier gas flow compared to other chemical installation scrubbers, where the volumetric flow of carrier gas (air) through a scrubber used to provide through-pan draughting is typically -5 times higher than the carrier gas (nitrogen) flow through the eisting scrubber. This is because the eisting plant is fully enclosed & nitrogen-blanketed where it is important to eclude air (safety) & to minimise nitrogen usage (due to cost, environmental & N supply limitations). As a result, the very small mass flows of toluene leaving the scrubber result in disproportionately high outlet concentrations. Gas out (kg/h) second scrubber Fig. 7. Toluene emissions variation with time (kg/h). Overall Efficiency (%) Fig. 8. Overall efficiency variation with time. odel sensitivity Calculations were made to understand the sensitivity of the model to the changes in liquid, inert gas and toluene concentrations. Two toluene flow rates scenarios entering the recirculation scrubber were considered; kg/batch and 5 kg/batch on a h batch simulation analysis (.833 kg/h and 4.6 kg/h respectively). Due the high Henry s constant (m=58), the scrubber efficiency is likely to be function of the G/L ratio, therefore, a range of gas and liquid flow rates were assessed to understand the sensitivity within the model. For Nitrogen, since the normal flow rate is m 3 /h, calculations were carried out with a range of lower ( and 6 m 3 /h) and higher values (, 5, 3, 4, 5, 7, and m 3 /h).
9 Liquid flow rates of, 5, and 5 m3/h were carried out for the continuous bed. The results for the first and second scrubber efficiency are given in Fig. 9. Fig. 9 indicates that the amount of toluene coming in doesn t affect efficiency Since the nitrogen flow rate is fied due to safety reasons, an analysis was made to see how does the water flow rate for the second scrubber (with the actual toluene flow rates from table ) affects the efficiency and toluene emissions. values within both scrubbers at the various nitrogen flow rates. The decreasing effect for the first scrubber efficiency is a result of the recirculation/accumulation as previously mentioned. Efficiency is lower for higher nitrogen flow rates. First Scrubber Efficiency (%) Toluene flow rate:.833 kg/h (Entering first scrubber) First Scrubber Efficiency (%) Toluene flow rate: 4.6 kg/h (Entering first scrubber) Second Scrubber Efficiency (%) N flow rates (m 3 /h) Second Scrubber Efficiency (%) Fig. 9. Comparison between first and second scrubber efficiency variation with time for first scrubber toluene constant flow rate of.833 kg/h (on the left) and 4.6 kg/h (on the right). Calculations were made for several nitrogen flow rates.
10 Second Scrubber Efficiency (%) Fig.. Second scrubber efficiency variation with time for several water flow rates. Overall Efficiency (%) Fig.. Overall efficiency variation with time for several water flow rates. Toluene gas out (kg/h) Second Scrubber Fig.. Toluene emissions variation with time for several water flow rates. As we can see by the previous graphs increasing the water flow rate to the continuous scrubber will have a maor impact to the removal efficiency and consequently to the toluene emissions. Increasing the water to the continuous packed bed will decrease toluene emissions by.5 that for a doubling of the liquid flow rate ( to m 3 /h). 5. Conclusions A crystallization process from a Fuifilm Inket Dye produces toluene emissions that are minimized by gas absorption using a multi-bed scrubber. Emissions from the process vessels were calculated using EPA equations and the heating process with toluene only in the vessel is the one who produces maor emissions. The final process emissions were used to assess recent emission calculation changes to SuperPro Designer. Final results for the toluene emissions calculations from SPD are in close agreement with the ones from the Ecel spreadsheet and small discrepancies are likely to be due to differences in some of the parameters used by SPD to do the calculations. The process emissions were then fed into a new toluene scrubbing model that used the ONDA equations. Toluene is only partially soluble in water (5 ppm), with a Henry s constant of 58 at ºC. The efficiency of very dilute systems will be dependent on the L/G flow rate, and this dependency was shown to be the case for toluene scrubbing (Fig. 9 to ). Accumulation in the first scrubber is limited due to poor solubility and gas stripping. The first scrubber appears to be smoothing out the toluene released to second scrubber, potentially reducing the etent of any peak emissions. Lower nitrogen flow rates will greatly improve toluene absorption efficiency (Fig. 9). However, nitrogen in the process is used to maintain an inert atmosphere for safety reasons and cannot be changed. Increasing the liquid flow rates will have the
11 most immediate benefit in terms of removal efficiency, as seen in Fig. to. The eisting scrubber system using water has limited potential for toluene abatement, due to the poor solubility. The current scrubber system was able to achieve insignificance levels for long term emissions but unable to routinely achieve short term insignificance levels and either Class A or B benchmarks without additional measures. Failure to meet the concentration benchmarks is due in part to the very low carrier gas flow compared to other chemical installation scrubbers, where the volumetric flow of carrier gas [air] through a scrubber used to provide through-pan draughting is typically -5 times higher than the carrier gas [nitrogen] flow through the eisting scrubber. Use of the eisting condenser and/or increased liquid flow to the scrubber will ensure the overall abatement measures satisfy both short and long term ground level concentrations. Potential improvement measures to be assessed include: Chilled condensation on the process vessel Increasing the second scrubber liquid flow rate Alternative process solvent Alternative scrubbing medium Additive to water to increase toluene solubility 6. List of symbols a Packing surface area per unit volume (m /m 3 ) a w Effective interfacial area of packing per unit volume (m /m 3 ) C t Total molar concentration (kmol/m 3 ) D L D V d p Liquid diffusivity (m /s) Diffusivity of vapor (m /s) Packing size (m) E Efficiency (%) G m flow rate of gas per unit area (kmol/m.s or kg/m.s) g Gravitational acceleration (m/s ) H Henry s law constant (dimensionless or atm) H G H L Height of gas film transfer unit (m) Height of liquid film transfer unit (m) H OG Height of overall gas phase transfer unit (m) K G K L K 5 k G k L L m Overall gas phase mass transfer coefficient (kmol/m.s.atm) Overall liquid phase mass transfer coefficient (kmol/m.s.atm) Constant in equation (5) (5.3 for packing sizes above 5 mm, and. for sizes below 5 mm) Gas film mass transfer coefficient (m/s) Liquid film mass transfer coefficient (m/s) flow rate of liquid per unit area (kmol/m.s or kg/m.s) W i olecular weight of ith component m Slope of equilibrium line N OG Number of overall gas-phase transfer units n inert P Inert gas leaving the vessel during the operation (kmoles) Column operating pressure (atm or bar) p* Vapor pressure of solute (atm) P P Pa Pa p i initial vessel pressure (Pa) final vessel pressure (Pa) initial pressure (Pa) final vessel pressure (Pa) vapor pressure of ith component i at the eit temperature (Pa) (p i) T, T vapor pressure of component i at T or T (Pa) (p ) T, T vapor pressure of component at T or T (Pa) R ideal gas constant (834 J/kmol.K) T T initial vessel temperature (K) final vessel temperature (K) V r volume of displaced gas (m 3 ) V r, initial gas space volume (m 3 ) V r, final gas space volume (m 3 ) concentration of solute in solution at column top
12 e i y y y e Z the concentration in the liquid that would be in equilibrium with the gas concentration at any point mole fraction of component i in the liquid miture mole fraction of component in the liquid miture concentration of solute in gas phase at column base concentration of solute in gas phase at column top the concentration in the gas that would be in equilibrium with the liquid concentration at any point Height of package (m) 6.. Greek letters σ C Critical surface tension for packing material (N/m) µ L Viscosity of liquid (Pa.s) µ v Viscosity of vapor (Pa.s) ρ L Density of liquid (kg/m 3 ) ρ v Density of vapor (kg/m 3 ) σ L Liquid surface tension (N/m) References [] Everaert, K., Degreve, J., Baeyens, J., VOC-air separations using gas membranes, J. Chem. Technol. Biotechnol. 78 (3), [] ethods for Estimating Air Emissions from Paint, Ink, and Other Coating anufacturing Facilities, Volume, chapter 8, EPA February 5. [3] (6.6.8). [4] yosemite.epa.gov/oaqps/eogtrain.nsf/ (3.6.8). [5] Sinnott, R. K., Coulson & Richardson s Chemical Engineering, Volume 6 Chemical Engineering Design, Butterworth Heinemann, 997. [6] Grandean, B. P. A.; Iliuta, I.; Larachi, F.; Piche, S. () Environ. Sci. Technol. 35, Interfacial ass Transfer in Randomly Packed Towers: A Confident Correlation For Environmental Applications.
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